Probabilistic solution of rational difference equations system with random parameters (Q1954362)
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scientific article; zbMATH DE number 6172938
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Probabilistic solution of rational difference equations system with random parameters |
scientific article; zbMATH DE number 6172938 |
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Probabilistic solution of rational difference equations system with random parameters (English)
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11 June 2013
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Summary: We study the periodicity of the solutions of the rational difference equations system of type \(x_n = a/y_{n-p}\), \(y_n = b/x_{n+p-2}(p \geq 1)\), and then we propose new exact procedure to find the probability density function of the solution, where \(a\), \(b\), \(x_0 = N\) and \(y_0 = M\) are independent random variables.
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